TheER(n)-cohomology ofBO(q) and real Johnson–Wilson orientations for vector bundles

DOI10.1112/blms/bdv057zbMath1328.55006arXiv1409.1281OpenAlexW1582979818MaRDI QIDQ3192343

Nitu Kitchloo, W. Stephen Wilson

Publication date: 12 October 2015

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1281

zbMATH Keywords

Bockstein spectral sequencesreal orientationJohnson-Wilson theorieshomotopy fixed point spectra

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Homology with local coefficients, equivariant cohomology (55N25) Relations between equivariant and nonequivariant homotopy theory in algebraic topology (55P92)

Related Items (9)

The real Johnson-Wilson cohomology of \(\mathbb{CP}^\infty\) ⋮ Gorenstein duality for real spectra ⋮ Landweber flat real pairs and \(ER(n)\)-cohomology ⋮ Relative regular sequences and generalized cohomology of infinite real Grassmannians ⋮ On the EO$\mathrm{EO}$‐orientability of vector bundles ⋮ The Morava \(K\)-theory of \(BO(q)\) and \(MO(q)\) ⋮ \(TMF_0(3)\)-characteristic classes for string bundles ⋮ The \textit{ER}(2)-cohomology of \(\prod^n \mathbb{CP}^\infty\) and \(BU (n)\) ⋮ Tate blueshift and vanishing for real oriented cohomology theories

Cites Work

• On the Hopf ring for \(ER(n)\)
• The second real Johnson-Wilson theory and nonimmersions of \(RP^n\)
• The second real Johnson-Wilson theory and nonimmersions of \(RP^n\). II.
• Brown-Peterson cohomology from Morava \(K\)-theory
• Morava \(K\)-theory of classifying spaces: Some calculations
• Comodules and Landweber exact homology theories
• M-Theory, type IIA superstrings, and elliptic cohomology
• Unstable splittings for real spectra
• Associated prime ideals and Hopf algebras
• Annihilator ideals and primitive elements in complex bordism
• On fibrations related to real spectra
• The Complex Cobordism of BO _n
• Homological Properties of Comodules Over MU ∗ (MU) and BP ∗ (BP)
• THE REAL K-THEORY OF CLASSIFYING SPACES
• Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence

This page was built for publication: TheER(n)-cohomology ofBO(q) and real Johnson–Wilson orientations for vector bundles